0
Q:

n is an integer chosen at random from the set

{5, 7, 9, 11 }

p is chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23 ?

A) 0.1 B) 0.2
C) 0.25 D) 0.3

Answer:   A) 0.1



Explanation:

Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.

Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)

This means that the probability of getting a sum of 23 is 2/20 = 1/10

Q:

What is the value of (2/3 +tan45° ) ?

A) (1+√6)/√3 B) (2+√3)/√3
C) 4/√3 D) √3+2
 
Answer & Explanation Answer: B) (2+√3)/√3

Explanation:
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0 929
Q:

Find the volume (in cub.cm) of a sphere of diameter 42 cm

A) 17779 B) 36922
C) 38808 D) 13371
 
Answer & Explanation Answer: C) 38808

Explanation:
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0 745
Q:

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A) 144 B) 49
C) 98 D) 72
 
Answer & Explanation Answer: D) 72

Explanation:
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0 850
Q:

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter

A) 92 B) 48
C) 46 D) 96
 
Answer & Explanation Answer: C) 46

Explanation:
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0 800
Q:

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

A) 3/4(√7 – √3) B) √5 – √3
C) √7 + √5 D) 1/2(√7 + √3)
 
Answer & Explanation Answer: A) 3/4(√7 – √3)

Explanation:
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0 856
Q:

Rahul’s salary is 40% of Mohit’s salary. If Rahul’s salary is increased by 60% and Mohit’s salary is decreased by 20%, then Rahul’s salary will be how much percentage of Mohit’s salary?

A) 80 B) 100
C) 105 D) 64
 
Answer & Explanation Answer: A) 80

Explanation:
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1 863
Q:

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

A) π6 B) π3
C) 2π3 D) π2
 
Answer & Explanation Answer: D) π2

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0 807
Q:

Choose the CORRECT option if the two sides of a triangle is of length 4 cm and 10 cm and the length of its third side is a cm.

A) a<6 B) 6
C) a>5 D) 5
 
Answer & Explanation Answer: B) 6

Explanation:
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0 786